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Finding the Fourth Proportional to 14,217.66, 19,629.54 and 9,739.98

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Solution

The fourth proportional to 14,217.66, 19,629.54 and 9,739.98 is: 13,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,217.66 : 19,629.54 = 9,739.98 : x
  2. Step 2: Convert to fraction form
    14,217.66/19,629.54 = 9,739.98/x
  3. Step 3: Cross multiply
    14,217.66x = 19,629.54 × 9,739.98
  4. Step 4: Simplify right side
    14,217.66x = 191,191,327.01
  5. Step 5: Solve for x
    x = 191,191,327.01/14,217.66
  6. Step 6: Final answer
    x = 13,447.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.